Memory responses in a three-dimensional thermo-viscoelastic medium

Sur, Abhik

doi:10.1080/17455030.2020.1766726

Cited by 31 publications

(2 citation statements)

References 43 publications

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“…Sidhardh et al [34], Yu et al [35], Sur [36][37][38][39], Sur and Othman [40], Sumelka and Blaszczyk [41], Ezzat et al [42][43][44], Sherief et al [45], Yang [46], presentation of general fractional derivatives as a review. In pig muscle tissue and blood, Madhukar et al [47] provided experimental proof that transient heat conduction is damped-hyperbolic.…”

Section: Introductionmentioning

confidence: 99%

A modified Green-Naghdi fractional order model and its application to thermoelectric semi-space heated by a moving heat source

Hassaballah,

Hendy,

Ezzat

2024

Preprint

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Classical Green-Naghdi (GN-II) model may have trouble accurately forecasting the thermo-mechanical behavior of electro-thermoelastic materials if memory-dependent impact is not taken into account. As results, we shall construct a new mathematical model of the Green-Naghdi (GN-II) theory, based on fractional order of heat transfer. A few theories are offered as limit examples. The method of the matrix exponential, which constitutes the basis of the state-space approach of modern theory, is used. Laplace transforms are utilized. The formulation is applied to half-space problem exposed to a uniform magnetic field and heated by a moving heat source with a constant speed. A numerical method is employed for the inversion of the Laplace transforms. The effects of several estimates of the figure-of-merit quantity, heat source speed, fractional parameter, magnetic number, and thermal shock parameter are considered.

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Section: Introductionmentioning

confidence: 99%

A modified Green-Naghdi fractional order model and its application to thermoelectric semi-space heated by a moving heat source

Hassaballah,

Hendy,

Ezzat

2024

Preprint

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“…Recently, transient response of the thermoelastic field in an elastic medium was addressed in the context of thermoelasticity with two relaxation time parameters and memorydependent heat transfer. [28][29][30] For a hollow sphere, nonlinear generalized thermoelastic problems were treated based on the Lord-Shulman theory for homogeneous and functionally graded materials. [31][32][33] These researches focus on thermoelastic responses and the interaction of moisture and temperature along with elastic field is negligible.…”

Section: Introductionmentioning

confidence: 99%

Transient response of the hygro-thermo-elastic field in hollow cylinders under heat-moisture shock via hyperbolic non-Fourier heat conduction and non-Fick diffusion

Peng

Cheng²,

Xt³

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The classical Fourier heat conduction theory as well as the widely used Fick’s diffusion law predicts an infinite wave velocity. This is physically unrealistic. By generalizing the classical Fourier’s and Fick’s laws, this paper presents a hyperbolic diffusion law to apply heat and moisture coupling. The transient response of the hygro-thermo-elastic field in infinitely long hollow cylinders subjected to sudden heat and moisture shock on the inner and outer surfaces is studied. With the aid of the Laplace transform and the decoupling technique, the closed-form solutions of temperature, moisture, elastic displacement and stresses are determined respectively. The analytical results show that the thermal and moisture relaxation time effect between temperature and moisture is significant for composites. Compared with the classic counterpart, the finite hygrothermal wave speed of the pipe is achieved and decreases with the relaxation time rising. The temperature, moisture, elastic displacement and stresses are calculated. Numerical results are displayed graphically to show the influence of the phase lag of heat/moisture flux on the response of the hygro-thermo-elastic fields. Non-Fourier and non-Fick effects are remarkable between the classic model and hyperbolic hygrothermal coupling model. Some drawbacks induced by the classical Fourier’s and Fick’s laws are averted.

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Magneto-photo-thermoelastic interaction in a slim strip characterized by hereditary features with two relaxation times

Sur

2023

Mech Time-Depend Mater

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Memory responses in a three-dimensional thermo-viscoelastic medium

Cited by 31 publications

References 43 publications

A modified Green-Naghdi fractional order model and its application to thermoelectric semi-space heated by a moving heat source

A modified Green-Naghdi fractional order model and its application to thermoelectric semi-space heated by a moving heat source

Transient response of the hygro-thermo-elastic field in hollow cylinders under heat-moisture shock via hyperbolic non-Fourier heat conduction and non-Fick diffusion

Magneto-photo-thermoelastic interaction in a slim strip characterized by hereditary features with two relaxation times

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